What is the Least Common Multiple of 97123 and 97137?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 97123 and 97137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97123 and 97137, than apply into the LCM equation.

GCF(97123,97137) = 1
LCM(97123,97137) = ( 97123 × 97137) / 1
LCM(97123,97137) = 9434236851 / 1
LCM(97123,97137) = 9434236851

Least Common Multiple (LCM) of 97123 and 97137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97123 and 97137. First we will calculate the prime factors of 97123 and 97137.

Prime Factorization of 97123

Prime Factorization of 97137

Now multiplying the highest exponent prime factors to calculate the LCM of 97123 and 97137.

LCM(97123,97137) = 13¹ × 31¹ × 241¹ × 3² × 43¹ × 251¹
LCM(97123,97137) = 9434236851